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Integral Calculus

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9 Feb 2010 11:46:42 IST

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integrate tan^-1 ((2x-1)/(1+x-x^2)) dx with limits 0 to 1

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integrate tan^-1 ((2x-1)/(1+x-x^2)) dx with limits 0 to 1

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Yagyadutt Mishra

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Joined: 19 Feb 2009

Posts: 1983

9 Feb 2010 13:57:51 IST

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arc tanx = tan^-1x {notation}

arc tan ( a+b/1-ab) = arc tan(a) + arc tan(b)

arc tan ( 2x-1/1+x-x^2) = arc tan [(x + x-1)/{1 -x(x-1)} ]

arc tan (2x-1/1+x-x^2) = arc tan(x) + arc tan (x-1)

Integerate it and apply the limit

winx

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Joined: 28 Jan 2010

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9 Feb 2010 16:37:23 IST

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thank u sir

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